1048057824 has 96 divisors (see below), whose sum is σ = 3028161024. Its totient is φ = 314746880.

The previous prime is 1048057799. The next prime is 1048057847. The reversal of 1048057824 is 4287508401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1048057824² = 2196850404895229952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114937 + ... + 123719.

It is an arithmetic number, because the mean of its divisors is an integer number (31543344).

Almost surely, 2^1048057824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1048057824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514080512).

1048057824 is an abundant number, since it is smaller than the sum of its proper divisors (1980103200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1048057824 is a wasteful number, since it uses less digits than its factorization.

1048057824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8920 (or 8912 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 1048057824 is about 32373.7211948210. The cubic root of 1048057824 is about 1015.7692968235.

The spelling of 1048057824 in words is "one billion, forty-eight million, fifty-seven thousand, eight hundred twenty-four".